Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko
November 30, 2018 10:05–10:45, Moscow, Steklov Mathematical Institute (Gubkina, 8, 9th floor)
 


On a heavy quantum particle

Dmitry Treschev

Steklov Mathematical Institute of Russian Academy of Sciences
Video records:
MP4 1,059.3 Mb
MP4 481.0 Mb

Number of views:
This page:136
Video files:42

Dmitry Treschev
Photo Gallery


Видео не загружается в Ваш браузер:
  1. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  2. Сообщите администратору портала о данной ошибке

Abstract: We consider Schrödinger equation for a particle on a flat $n$-torus in a bounded potential, depending on time. Mass of the particle equals $1/\mu^2$, where $\mu$ is a small parameter. We show that the Sobolev $H^{\nu}$-norms of the wave function grow approximately as $t^{\nu}$ on the time interval $t \in [-t_*,t_*]$, where $t_*$ is slightly less than $O(1/\mu)$.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021